Prove the following identities:
(SecA+CosA)(SinA-CosA)=tan^2A+sin^2A
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Answer:
Step-by-step explanation:
LHS
(1/cosA+cosA)(sinA-cosA)
(1+cos²A/cosA)(sinA-cosA)
sinA+cos²AsinA-cosA-cos³A/cosA
tanA+cosAsinA-1-cos²A
RHS
sin²A+sin²Acos²A/cos²A
tanA+cosAsinA-1-cos²A
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